If we can draw three real and distinct chords from `(alpha,0), a> 0` the circle `x^2+y^2=a^2` which are bisected by the parabola `y^2 = 4ax`, a > 0, then

The number of chords drawn from point (a, a) on the circle x^(2)+y"^(2)=2a^(2) , which are bisected by the parabola y^(2)=4ax , is

Find the values of a for which three distinct chords drawn from (a,0) to the ellipse x^(2)+2y^(2)=1 are bisected by the parabola y^(2)=4x

If the circle x^(2)+y^(2)+2ax=0, a in R touches the parabola y^(2)=4x , them

Find the area common to the circle x^(2)+y^(2)=16a^(2) and the parabola y^(2)=6ax,a>0

If x-2y-a=0 is a chord of the parabola y^(2)=4ax , then its langth, is

The equation of the chord of the circle x^(2)+y^(2)-6x+8y=0 which is bisected at the point (5, -3), is

If two distinct chords drawn from the point (a, b) on the circle x^2+y^2-ax-by=0 (where ab!=0) are bisected by the x-axis, then the roots of the quadratic equation bx^2 - ax + 2b = 0 are necessarily. (A) imaginary (B) real and equal (C) real and unequal (D) rational

Area above the X-axis, bounded by the circle x^(2)+y^(2)-2ax=0 and the parabola y^(2)=ax is

The chords through (2,1) to the circle x^2-2x+y^2-2y+1=0 are bisected at the point (alpha,1/2) then value of (2alpha)/3 is ___